{
  "annotation_id": "1e89ce07-571d-4056-8b3c-40c65f6aa302",
  "date_created": "2026-03-02T18:02:34.175000Z",
  "date_modified": "2026-03-02T18:02:34.175000Z",
  "file_hash": "b0ca750253b7946153037da47839709747c7216ef916a3969466bf931d1bdac4",
  "private": false,
  "record": {
    "abstract": "It is shown that the Lorentz transformations can be derived for a\nnon-orthogonal Euclidean space. In this geometry one finds the same relations\nof special relativity as the ones known from the orthogonal Minkowski space. In\norder to illustrate the advantage of a non-orthogonal Euclidean metric the\ntwo-point Green\u0027s function at x = 0 for a self-interacting scalar field is\ncalculated. In contrast to the Minkowski space the one loop mass correction\nderived from this function gives a convergent result due to an intrinsic\nregularization parameter called effective dimension. This parameter is an\nentropy related measure for the information loss caused by quantum fluctuations\nof the metric at energies higher than the Planckian limit.",
    "arxiv_id": "quant-ph/0612125",
    "authors": [
      "Carmen Tornow"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Intrinsic Regularization in a Lorentz invariant non-orthogonal Euclidean   Space",
    "url": "https://arxiv.org/abs/quant-ph/0612125"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c48174c9-be24-419e-b460-8870c931649e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}